What is 2>((6x+28))/((x+2)) ?

The solution to 2>((6x+28))/((x+2)) is -6<x<-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2>((6x+28))/((x+2))

2 > \frac{( 6 x + 28 )}{( x + 2 )}

- 6 < x < - 2

Interval Notation

(- 6, - 2)

Solution steps

2 > \frac{6 x + 28}{x + 2}

Switch sides

\frac{6 x + 28}{x + 2} < 2

Rewrite in standard form

\frac{4 x + 24}{x + 2} < 0

Factor

\frac{4 x + 24}{x + 2} : \frac{4 ( x + 6 )}{x + 2}

\frac{4 ( x + 6 )}{x + 2} < 0

Divide both sides by

4

\frac{\frac{4 ( x + 6 )}{x + 2}}{4} < \frac{0}{4}

Simplify

\frac{x + 6}{x + 2} < 0

Identify the intervals

- 6 < x < - 2

\frac{( e ) ( x ^{2} - 7 x + 12 )}{( 2 x ^{2} + 4 x + 5 )} > \frac{1}{2}

x^{2} \cdot (x - 3) < 0

\frac{( x ^{3} + x ^{2} + x + 1 ) ( x - 1 )}{( x ^{4} - 4 )} \geq 0

\frac{1}{x} < 3

\frac{( x + 1 ) ( x - 3 )}{( x + 2 )} \geq 0